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Beschreibung
It was generally believed that the study of probability theory was started by Pascal and Fermat in 1654 when they succeeded in deriving the exact probabilitiesforcertaingamblingproblem. Greatprogresswasachievedwhen VonMisesinitializedtheconceptofsamplespace, and?lledthegapebetween probability theory and measure theory in 1931. An axiomatic foundation of… probabilitytheorywasgivenbyKolmogoro?inhisFoundationsofProbability Theory of 1933. Since then, probability theory has been developed steadily and has been widely applied in science and engineering. Probability theory will be introduced in Chapter 2. Fuzzy set was initiated by Zadeh via membership function in 1965, and was well developed and applied in a wide variety of real problems. In order to measure a fuzzy event, Zadeh proposed the concept of possibility measure in 1978. Although possibility measure has been widely used, it has no se- duality property. However, a self-dual measure is absolutely needed in both theory and practice. In order to de?ne a self-dual measure, Liu and Liu gave the concept of credibility measure in 2002. Credibility theory is a branch of mathematics that studies the behavior of fuzzy phenomena. An axiomatic foundation of credibility theory was given by Liu in his Uncertainty Theory of 2004. Chapter 3 will provide the credibility theory. Sometimes, fuzziness and randomness simultaneously appear in a system. 149,98 €
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Technische Daten
Erscheinungsdatum
17.11.2010
Sprache
Englisch
EAN
9783642092176
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Studies in Fuzziness and Soft Computing
Sonderedition
Nein
Autor
Baoding Liu
Seitenanzahl
255
Auflage
2
Einbandart
Broschiert
Schlagwörter
Credibility Theory, Fuzzy Set, Operations Research, Random Fuzzy Theory, Random Rough Theory, Rough Fuzzy Theory, Rough Sets, Trust Theory, Uncertainty, artificial intelligence, intelligence
Thema-Inhalt
TBJ - Mathematik für Ingenieure
PBW - Angewandte Mathematik
PBT - Wahrscheinlichkeitsrechnung und Statistik
PBWL - Stochastik
UYQ - Künstliche Intelligenz
PBU - Optimierung
KJT - Unternehmensforschung
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer-Verlag GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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